Answer: 
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Reason:
Plot the points (0,0) and (r,s). You can place (r,s) anywhere you want.
Connect the two points mentioned and form a right triangle such that the segment from (0,0) to (r,s) is the hypotenuse of said right triangle.
The horizontal leg has a length of r-0 = r units, while the vertical leg will be 's' units.
Check out the diagram below.
We then apply the pythagorean theorem to say 
where h is the hypotenuse. Solving for h gets us 
. We only focus on the positive square root since a negative hypotenuse makes no sense.
Since we made the hypotenuse the segment with endpoints (r,s) and (0,0), this means the hypotenuse length and the distance are the same thing.
Therefore, the distance from (r,s) to (0,0) is 
As an alternative, you can use the distance formula to get the same answer. The distance formula is effectively the pythagorean theorem phrased a different way.
Zinc = 7/18
Divide 4.9 by 7 = 0.7
Multiply by 18 = 12.6
The answer is 12.6 lbs of alloy. Sorry if I'm wrong
Answer: -8 and 6
Step-by-step explanation:
factors of 48: 1,2,4,6,8,12,24,48
1 x 48
2 x 24
4 x 12
6 x 8
for a negative product, one of the factors must be negative and the other positive.
for two number to have a sum of -2, the greater number must be the negative number, and both numbers should have be two values apart (ex. 6 and 8, 3 and 5, 12 and 14, etc.). In this case, 8 would have to be negative whereas 6 will be left positive.
and then we check:
-8 x 6 = 48
-8 + 6 = -2
Answer:
19,500 - (1,000 x 12) = X
Brianna earns $ 7,500 more than Lisa per year.
Step-by-step explanation:
Given that Brianna earns $ 19,500 per year and Lisa earns $ 1,000 per month, to write a numerical expression that represents how much more Brianna earns per year than Lisa the following calculations and equations must be performed:
19,500 - (1,000 x 12) = X
19,500 - 12,000 = X
7,500 = X
Thus, Brianna earns $ 7,500 more than Lisa throughout the year.
